What is the Greatest Common Factor of 32402 and 32408?

Greatest common factor (GCF) of 32402 and 32408 is 2.

GCF(32402,32408) = 2

We will now calculate the prime factors of 32402 and 32408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32402 and 32408.

How to find the GCF of 32402 and 32408?

We will first find the prime factorization of 32402 and 32408. After we will calculate the factors of 32402 and 32408 and find the biggest common factor number .

Step-1: Prime Factorization of 32402

Prime factors of 32402 are 2, 17, 953. Prime factorization of 32402 in exponential form is:

32402 = 2¹ × 17¹ × 953¹

Step-2: Prime Factorization of 32408

Prime factors of 32408 are 2, 4051. Prime factorization of 32408 in exponential form is:

32408 = 2³ × 4051¹

Step-3: Factors of 32402

List of positive integer factors of 32402 that divides 32402 without a remainder.

1, 2, 17, 34, 953, 1906, 16201

Step-4: Factors of 32408

List of positive integer factors of 32408 that divides 32402 without a remainder.

1, 2, 4, 8, 4051, 8102, 16204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32402 and 32408. The biggest common factor number is the GCF number.
So the greatest common factor 32402 and 32408 is 2.

Also check out the Least Common Multiple of 32402 and 32408